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Simplifying -1(4x + 6) + 3(x + 8) = 1 + -2x + 2 Reorder the terms: -1(6 + 4x) + 3(x + 8) = 1 + -2x + 2 (6 * -1 + 4x * -1) + 3(x + 8) = 1 + -2x + 2 (-6 + -4x) + 3(x + 8) = 1 + -2x + 2 Reorder the terms: -6 + -4x + 3(8 + x) = 1 + -2x + 2 -6 + -4x + (8 * 3 + x * 3) = 1 + -2x + 2 -6 + -4x + (24 + 3x) = 1 + -2x + 2 Reorder the terms: -6 + 24 + -4x + 3x = 1 + -2x + 2 Combine like terms: -6 + 24 = 18 18 + -4x + 3x = 1 + -2x + 2 Combine like terms: -4x + 3x = -1x 18 + -1x = 1 + -2x + 2 Reorder the terms: 18 + -1x = 1 + 2 + -2x Combine like terms: 1 + 2 = 3 18 + -1x = 3 + -2x Solving 18 + -1x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + -1x + 2x = 3 + -2x + 2x Combine like terms: -1x + 2x = 1x 18 + 1x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 1x = 3 + 0 18 + 1x = 3 Add '-18' to each side of the equation. 18 + -18 + 1x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 3 + -18 1x = 3 + -18 Combine like terms: 3 + -18 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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